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== Part A: Periodic Signals Revisited ==
 
By sampling a CT periodic signal at different frequencies, one can produce both a periodic and non-periodic DT signal.  I chose to use the tangent signal from Homework 1.
 
  
 
:<center><math>\tan\theta = \frac{\sin\theta}{\cos\theta}\,</math></center>
 
 
 
 
 
<center>[[Image:tangent_ECE301Fall2008mboutin.jpg]]</center>
 
 
 
 
By sampling the signal with x[n]=tan[k+n] and k=1.5, it is possible to produce a non-periodic DT signal.
 
 
<center>[[Image:tan_nonperiodic_ECE301Fall2008mboutin.jpg]]</center>
 
 
 
By sampling the signal with x[n]=tan[k+n] and <math>k = {\pi\over 8}</math>
 
 
 
<center>[[Image:tan_periodic_ECE301Fall2008mboutin.jpg]]</center>
 

Revision as of 10:41, 11 September 2008

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal